TRUE OR FALSE (Justify your answer with axiom and theorems. If the statement is false, modify the statement to make it true) 2(x+1) + y (x+1)= (2+y)(x+1)Justify your answer with axiom and theorems. Solution LHS=2(x+1)+y(x+1) Given =2x+2+yx+y Distributive Property RHS=(2+y)(x+1) Given =2(x+1)+y(x+1) Distributive Property =2x+2+yx+y Distrubitive Property LHS=RHS Transitive Property of Equality True statement.